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Finding the Fourth Proportional to 1,283.76, 1,769.84 and 863.36

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Solution

The fourth proportional to 1,283.76, 1,769.84 and 863.36 is: 1,190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.76 : 1,769.84 = 863.36 : x
  2. Step 2: Convert to fraction form
    1,283.76/1,769.84 = 863.36/x
  3. Step 3: Cross multiply
    1,283.76x = 1,769.84 × 863.36
  4. Step 4: Simplify right side
    1,283.76x = 1,528,009.06
  5. Step 5: Solve for x
    x = 1,528,009.06/1,283.76
  6. Step 6: Final answer
    x = 1,190.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.